GCD of 302, 225, 182, 448 Calculator

Given Input numbers are 302, 225, 182, 448

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 302, 225, 182, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 225, 182, 448 is 1.

Therefore, GCD of numbers 302, 225, 182, 448 is 1

Given Input Data is 302, 225, 182, 448

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 302 is 2 x 151

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(302, 225) = 67950

GCD(302, 225) = ( 302 x 225 ) / 67950

GCD(302, 225) = 67950 / 67950

GCD(302, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 302, 225, 182, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 445, 191, 171
• GCD of 840, 567, 429, 142
• GCD of 384, 940, 985, 601
• GCD of 551, 180, 163, 657
• GCD of 462, 254, 409, 489

1. What is the GCD of 302, 225, 182, 448?

GCD of 302, 225, 182, 448 is 1

2. Where do I get the detailed procedure to find GCD of 302, 225, 182, 448?

You can find a detailed procedure to find GCD of 302, 225, 182, 448 on our page.

3. How to find GCD of 302, 225, 182, 448 on a calculator?

You can find the GCD of 302, 225, 182, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.